True or False. The equation 4x2 + 16 = 0 is an example of a quadratic equation. Explain.

I think it's false because a quadratic equation needs to be in the form of ax^2 + bx +c = 0... I have a feeling I'm wrong though..

Question

True or False.  The equation  4x2 + 16 = 0 is an example of a quadratic equation.  Explain.

I think it's false because a quadratic equation needs to be in the form of ax^2 + bx +c = 0... I have a feeling I'm wrong though..

zarkon · Answer

it is of that form...a=4,b=0,c=16

unklerhaukus · Answer

yeah b is just zero, and  that  is fine

mertsj · Answer

It contains a second power of x as its highest power so it is quadratic.

mertsj · Answer

In other words, it is a second degree equation so it is quadratic.

anonymous · Answer

but could C be zero too? ax^2 + 16 + 0 =0 ?

anonymous · Answer

ooooh ok, the second degree equation rings a bell

mertsj · Answer

Yes a quadratic equation is of the form ax^2 +bx+c where a is not 0.  b and c can be 0 but not a

mertsj · Answer

x^2=0
x^+3x=0
x^2-5x+7=0
All are quadratic equations.

unklerhaukus · Answer

*x^2+3x=0